A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle that measure 51 degrees. The measure of the first arc formed is x degrees and the measure of the second arc formed is 160 degrees.What is the value of x?

x =

Answers

Answer 1

Answer:

The value of x in the circle is 58°

Secant and tangent intersection

when a secant and a tangent meets outsides of a circle, the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,

51° = 1 / 2 (160 - x)

Therefore,

51 = 80 - x / 2

51 - 80 = - 1 /2 x

-29 = - 1 / 2 x

multiply both sides by -2

-29 × 2 = - 1 / 2 x × -2

x = 58

Therefore, the value of x is 58 degrees

learn more on secant and tangent here;brainly.com/question/14697178

Answer 2

Answer:

Answer:

Step-by-step explanation:

just did it on edg

Related Questions

A square brick is 11 inches on each side. What is the area of one face of the brick?
Escreva no caderno dois exemplos de números reais que obedecem a cada uma das condições A) números irracionais maiores que 2,5 e menores que 3.B) números racionais maiores que -7/8 e menores que -3/4
You can fly from Seattle to Boise for $137.50, from Boise to Witchita for $92.50 and from Witchita to Austin for $162.50. Use mental math to find the total cost of the flight from Seattle to Austin.
Solve for g -a=gs g=
Express the complex number in trigonometric form. -4i

An isosceles triangle has base angles that each measure 48°. Which equation can be used to find x, the measure of the third angle of this isosceles triangle in degrees?

Answers

Answer:

Step-by-step explanation:

It would be 48+48+x=180, since 3 angles in any triangle will always measure 180, by definition of a triangle. I guess you could also do 2(48)+x=180, but the first equation just makes it more intuitive I guess. The reason why this works is because since 3 angles must equal 180, the missing angle, x, must be the value of 180-48-48, since that would be the remaining value needed to make a triangle

What is the solution to the system of equations below?y=-6x-10
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

$y=-6x-10$

$y=-3x-21$

solving the system of the equations

Arrange the equation variables for elimination

$\begin{bmatrix}y+6x=-10\n y+3x=-21\end{bmatrix}$

$y+3x=-21$

$-$

$\underline{y+6x=-10}$

$-3x=-11$

$\begin{bmatrix}y+6x=-10\n -3x=-11\end{bmatrix}$

solve

$-3x=-11$

Divide both sides by -3

$(-3x)/(-3)=(-11)/(-3)$

$x=(11)/(3)$

$\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=(11)/(3)$

$y+6\cdot (11)/(3)=-10$

$y=-32$

Therefore, the solutions to the system of the equations are:

$y=-32,\:x=(11)/(3)$

But, it seems none of the options is true.

Answer:

A. (2, -22)

Step-by-step explanation:

I just took the test and i got a one hundred! I really hope it helped!!!!

F(x)= 2x+1/3x-4 H(x)=3x³-7EvaluateF(x)–¹And Fh(4)

Answers

$f(x) = (2x + 1)/(3x - 4)$
h(x) = 3x³ - 7

$f(x) = (2x + 1)/(3x - 4)$
$y = (2x + 1)/(3x - 4)$
$y(3x - 4) = (3x - 4)((2x + 1)/(3x - 4))$
$y(3x) - y(4) = 2x + 1$
$3xy - 4y = 2x + 1$
$3xy - 2x = 4y + 1$
$x(3y) - x(2) = 4y + 1$
$x(3y - 2) = 4y + 1$
$(x(3y - 2))/(3y - 2) = (4y + 1)/(3y - 2)$
$x = (4y + 1)/(3y - 2)$
$y = (4x + 1)/(3x - 2)$
$f^(-1)(x) = (4x + 1)/(3x - 2)$

f(h(4)) = 3x³ - 7
f(h(4)) = 3(4)³ - 7
f(h(4)) = 3(64) - 7
f(h(4)) = 192 - 7
f(h(4)) = 185

$f^(-1)(x) - f(h(4)) =(4x + 1)/(3x - 2) - 185$
$f^(-1)(x) - f(h(4)) =(4x + 1)/(3x - 2) = (185(3x - 2))/(3x - 2)$
$f^(1)(x) - f(h(4)) =(4x + 1)/(3x - 2) = (555x - 370)/(3x - 2)$
$f^(-1)(x) - f(h(4)) =((4x + 1) - (555x - 370))/(3x - 2)$
$\f^(-1)(x) - f(h(4)) =((4x - 555x) + (1 - 370))/(3x - 2)$
$f^(-1)(x) - f(h(4)) =(-551x - 369)/(3x - 2)$

3,9,6,9,27,24,27,81,78,81,243,?find out last figure to complete series

Answers

the next number is 240

Soooo yea uh i need help :'3
2 1/3 feet :4 1/2 feet
help

Answers

$2 (1)/(3) : 4 (1)/(2) \n = (7)/(3) : (9)/(2) \n = 14:27$

Phil deposited $1,000 in a savings account. how much will he have in his account in two years if his account is compounded annually at a 2% interest rate?